Consider the following information:

$\backslash$table$[[,$Probability of State,Rate of Return if State Occurs$],[$State of Economy,,,,,$],[$of Economy,Stock A$,$Stock B$,$Stock C$,,],[$Boom$,\mathrm{.}55,\mathrm{.}15,\mathrm{.}22,\mathrm{.}42,],[$Bust$,\mathrm{.}45,\mathrm{.}14,\mathrm{.}04,-\mathrm{.}05,]]$

a$.$ What is the expected return on an equally weighted portfolio of these three stocks? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the variance of a portfolio invested $24$ percent each in A and $B$ and $52$ percent in C$?($Do not round intermediate calculations and round your answer to $6$ decimal places, e$.$g$.,\mathrm{.}161616.)$

$\backslash$table$[[$a$.$ Expected return,$],[$b$.$ Variance,$]]$